【摘要】 非弹性的表面波大尺度波形反演的理论方法是以如下三个方面提出的：①计算本征值和本征函数可获得每一阶的频散参数，并把体波的复数形式和波能的吸收引入非弹性中。②根据弗拉尔和斯奈德的理论方法，计算了非弹性表面波的激发和合成地震图，球阶非弹性频散的计算按Ｂｉｓｗａｓ－Ｋｎｏｐｐｏｆ公式被变换成平滑的弹性形式。③使用自伴微分算子导出关于模型参数的波形Ｆｒｅｃｈｅｔ导数，然后应用非线性反演拟合波形。更多还原

【Abstract】 A theoretical method on large scale waveform inversions of surface wave for anelasticity is presented from three aspects such as follows:1)The computation of eigenvalues and eigenfunctions leads to obtain dispersive parameters for each mode and also we introduce complex form of body waves and absorbing of the wave energy into denoting anelasticity.2)According to Vlaar’s and Snieder’s theoretical methods,the excitation of surface wave and the synthetic seismograms are computed for anelasticity.The computation of the dispersion for spherical anelasticity is transformed into that for flat anelasticity by BiswasKnopoff’s formula in it.3)By using a selfadjoint differential operator to derive the Frechet derivative of the waveform with respect to the model parameters,we apply linearized inversions to fit the waveform.更多还原